x+3.5=8.3

Han Dos

2 min read

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06-03-2025

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This article will guide you through solving the simple algebraic equation x + 3.5 = 8.3. We'll break down the process step-by-step, making it easy to understand, even if you're new to algebra. Understanding how to solve this type of equation is fundamental to more advanced math concepts.

Understanding the Equation

The equation x + 3.5 = 8.3 asks: "What number, when added to 3.5, equals 8.3?" The 'x' represents the unknown number we need to find. This is a one-step equation, meaning we only need one step to isolate 'x' and find its value.

Solving for x: Step-by-Step

Our goal is to get 'x' by itself on one side of the equation. To do this, we'll use the inverse operation. Since 3.5 is being added to x, we'll subtract 3.5 from both sides of the equation. This keeps the equation balanced.

Step 1: Subtract 3.5 from both sides

x + 3.5 - 3.5 = 8.3 - 3.5

Step 2: Simplify

On the left side, +3.5 and -3.5 cancel each other out, leaving just 'x'. On the right side, 8.3 - 3.5 = 4.8

Therefore:

x = 4.8

Checking Your Answer

It's always a good idea to check your answer to make sure it's correct. Substitute the value of x (which is 4.8) back into the original equation:

4.8 + 3.5 = 8.3

This statement is true, confirming that our solution, x = 4.8, is correct.

Practical Applications

Solving simple algebraic equations like x + 3.5 = 8.3 might seem basic, but it has many real-world applications. For example:

• Calculating costs: Imagine you spent $3.50 on snacks and your total bill was $8.30. This equation helps you figure out how much you spent on other items (x).
• Measuring distances: If you traveled 3.5 miles and your total journey was 8.3 miles, 'x' represents the remaining distance.
• Budgeting: Tracking expenses and income relies on similar equations.

Further Exploration

This foundational understanding of solving for 'x' will help you tackle more complex algebraic equations in the future. Practice solving similar equations with different numbers to solidify your understanding. Try variations such as:

• y + 2.7 = 9.1
• z + 6.2 = 11.5

Mastering these basic equations is a crucial stepping stone to success in algebra and other mathematical fields. Remember, practice is key!